All,
I have heard that crazy tight chokes for TSS are not desirable but I'm having a hard time finding why? Does it ruin the patterns or because you are throwing so many pellets, it is not needed? The reason I ask is the current chokes I have are in the .655 range. What would going with a .675+ benefit for me? Thanks!

Too tight can blow your pattern, meaning it may get crazy 10" numbers, but the pattern will be splotchy, uneven, and inconsistent. Too tight may just give you a smaller room for error with a super tight pattern with a very high percentage in 10" and none left for 20" that looks cool on paper.
Most guys say open it up to give you a round, consistent pattern with good 10" and 20" numbers. 250 evenly spaced hits in a 10" circle will get you 60 yards of effective pattern density. So what is the need to keep stacking them in the 10"? Spread some to the 20" pattern for some forgiveness. I think most every TSS user I know started wanting the insane 10" numbers(I know I did) and all of them have since went to more open chokes or lighter loads. TSS is bad news for turkeys and it doesn't take much of it and doesn't need to be choked very tight.

I run a 665 Indian creek in my SBE2. I like tight core patterns. To put a lot of shot in the core you have to take it from the fringe. That takes away the flinch factor on closer shots. I shoot a red dot to help with precise aiming. Consider your Turkey gun more like a rifle than a skeet gun.

You can try the .655 and see how it patterns at 40 but that is awful tight. Too tight a choke and the 10" at 40 may suffer.
I run a .680-.690 on my 12ga 3" but every gun is different. Carlson Sporting Clay .690 throws a mean tight pattern at 40. Kicks GT .680 is tight as well.
Factory full or ex-full works well for many. It doesn't take much to get a tight pattern.

You can try the .655 and see how it patterns at 40 but that is awful tight. Too tight a choke and the 10" at 40 may suffer.
I run a .680-.690 on my 12ga 3" but every gun is different. Carlson Sporting Clay .690 throws a mean tight pattern at 40. Kicks GT .680 is tight as well.
Factory full or ex-full works well for many. It doesn't take much to get a tight pattern.

any budget friendly chokes? Seems like a lot of chokes state no steel shot which TSS falls under right?

It is an older Beretta Pintail (Also known as ES100). Semi-auto 12gauge shoots 3inch shells. Has a 24in barrel. Currently has a saddle mount to allow me to use my FF3 red dot.

You can shoot TSS thru any turkey choke regardless that it says hevi shot only.
Sorry but I'm not much help on budget friendly chokes for your Beretta but someone else here will know.
Primos Jelly heads or Carlson's are a good chokes for the price.

Too tight can blow your pattern, meaning it may get crazy 10" numbers, but the pattern will be splotchy, uneven, and inconsistent. Too tight may just give you a smaller room for error with a super tight pattern with a very high percentage in 10" and none left for 20" that looks cool on paper.
Most guys say open it up to give you a round, consistent pattern with good 10" and 20" numbers. 250 evenly spaced hits in a 10" circle will get you 60 yards of effective pattern density. So what is the need to keep stacking them in the 10"? Spread some to the 20" pattern for some forgiveness. I think most every TSS user I know started wanting the insane 10" numbers(I know I did) and all of them have since went to more open chokes or lighter loads. TSS is bad news for turkeys and it doesn't take much of it and doesn't need to be choked very tight.

Too tight can blow your pattern, meaning it may get crazy 10" numbers, but the pattern will be splotchy, uneven, and inconsistent. Too tight may just give you a smaller room for error with a super tight pattern with a very high percentage in 10" and none left for 20" that looks cool on paper.
Most guys say open it up to give you a round, consistent pattern with good 10" and 20" numbers. 250 evenly spaced hits in a 10" circle will get you 60 yards of effective pattern density. So what is the need to keep stacking them in the 10"? Spread some to the 20" pattern for some forgiveness. I think most every TSS user I know started wanting the insane 10" numbers(I know I did) and all of them have since went to more open chokes or lighter loads. TSS is bad news for turkeys and it doesn't take much of it and doesn't need to be choked very tight.